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Finding the Third Proportional to 151,785 and 222,756.50

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Solution

The third proportional to 151,785 and 222,756.50 is: 326,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,785 : 222,756.50 = 222,756.50 : x
  2. Step 2: Convert to fraction form
    151,785/222,756.50 = 222,756.50/x
  3. Step 3: Cross multiply
    151,785x = 222,756.50 × 222,756.50
  4. Step 4: Simplify right side
    151,785x = 49,620,458,292.25
  5. Step 5: Solve for x
    x = 49,620,458,292.25/151,785
  6. Step 6: Final answer
    x = 326,912.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.